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Finding the Fourth Proportional to 2,272.62, 3,408.86 and 712.77

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Solution

The fourth proportional to 2,272.62, 3,408.86 and 712.77 is: 1,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.62 : 3,408.86 = 712.77 : x
  2. Step 2: Convert to fraction form
    2,272.62/3,408.86 = 712.77/x
  3. Step 3: Cross multiply
    2,272.62x = 3,408.86 × 712.77
  4. Step 4: Simplify right side
    2,272.62x = 2,429,729.58
  5. Step 5: Solve for x
    x = 2,429,729.58/2,272.62
  6. Step 6: Final answer
    x = 1,069.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.